Respuesta :

Your answer is:
(125 - 8x^3) / (25 + 10x + 4x^2) = - ((2x - 5) * (4x^2 + 10x + 25)) / (4x^2 + 10x + 25) = - (2x - 5) = - 2x + 5

The correct result would be - 2x + 5.

Answer:

[tex]-2x+5[/tex]

Step-by-step explanation:

The given equation is:

[tex]\frac{125-8x^3}{25+10x+4x^2}[/tex]

On dividing and simplifying the above equation, we get

=[tex]\frac{-(2x-5)(4x^2+10x+25)}{4x^2+10x+25}[/tex]

Solving the like terms, we get

=[tex]-(2x-5)[/tex]

=[tex]-2x+5[/tex]

which is the required quotient of the given equation.